A carton packed with 2 bags of pepper weighs 8.22 kg. The same carton when packed with 15 such bags of pepper weighs 25.64 kg.
- Find the mass of 2 bags of pepper in kg.
- Find the mass of the empty carton in kg.
(a)
Let the mass of 1 carton be 1 C.
Let the mass of 1 box of pepper be 1 B.
1 C + 2 B = 8.22 --- (1)
1 C + 15 B = 25.64 --- (2)
(2) - (1)
13 B = 25.64 - 8.22
13 B = 17.42
1 B = 17.42 ÷ 13 = 1.34
Mass of 2 bags of pepper
= 2 x 1.34
= 2.68 kg
(b)
Mass of the empty carton
= 8.22 - 2.68
= 5.54 kg
Answer(s): (a) 2.68 kg; (b) 5.54 kg